Find the LCM of 745, 906, 596, 610 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 745, 906, 596, 610. So, keep reading to learn more.
Given numbers are 745,906,596,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,906,596,610 is 82346340.
Find LCM of 745,906,596,610 with Prime Factorization
2 | 745, 906, 596, 610 |
5 | 745, 453, 298, 305 |
149 | 149, 453, 298, 61 |
1, 453, 2, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 149 x 1 x 453 x 2 x 61 = 82346340
Therefore, the lowest common multiple of 745,906,596,610 is 82346340.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
745 x 906 x 596 x 610 = 245392093200
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
745 : 1, 5, 149, 745
906 : 1, 2, 3, 6, 151, 302, 453, 906
596 : 1, 2, 4, 149, 298, 596
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,906,596,610, is 1.
Now, the common factors can be found like this.
745:5x 149
906:2x 3x 151
596:2x 2x 149
610:2x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 149 = 2980
Therefore, the value for common factors is 2980.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 245392093200/(1x2980)
LCM = 245392093200/2980
LCM = 82346340
Thus, we can understand that the LCM of 745,906,596,610 is 82346340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 745, 906, 596, 610?
Answer: LCM of 745, 906, 596, 610 is 82346340.
2. How to calculate the LCM of 745, 906, 596, 610?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 745, 906, 596, 610.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.